Determine whether the Mean Value Theorem can be applied to f on the closed interval  [a, b]. f(x) = (sqrt 2-x),    [−14, 2] If the Mean Value Theorem can be applied, find all values of c in the open interval  (a, b).  (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) c =

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A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

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A: Let's find.

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A: We have to find y3.

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A: The tangent line at x has slope 3x-1e3x2-2x and f1=-e2

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A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

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A: We can find the equation of tangent line with all steps as below.

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A: For each of these relations on the set {1,2,3,4}, to draw the graph of the relation.

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A: Given:     Triangle is given

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A: Explanation of the answer is as follows

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A: answer is in next step

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A: We can find the derivative as below.

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A: Given:     radius ( r ) = 4 cm

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A: answer is in next step

Q: Also

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A: Use derivative for finding the  equation of tangent line .

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A: To determine the area of the region bounded.

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